Prerequisite

Description

Desired Learning Outcomes

This course is aimed at undergraduates majoring in mathematical and physical sciences and engineering. In addition to being an important branch of mathematics in its own right, complex analysis is an important tool for differential equations (ordinary and partial), algebraic geometry and number theory. Thus it is a core requirement for all mathematics majors. It contributes to all the expected learning outcomes of the Mathematics BS (see [1]).

Prerequisites

Students are expected to have completed and mastered Math 290, and to have taken or to have concurrent enrollment in Math 341 (Theory of Analysis) to provide the necessary understanding of the modes of thought of mathematical analysis.

Minimal learning outcomes

Students should achieve mastery of the topics listed below. This means that they should know all relevant definitions, the full statements of the major theorems, and examples of the various concepts. Further, students should be able to solve non-trivial problems related to these concepts, and prove simple theorems in analogy to proofs given by the instructor.